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Calculus Reordered: A History of the Big Ideas
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Calculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today.
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- A look at how calculus has evolved over hundreds of years and why calculus pedagogy needs to changeCalculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, how it was shaped by Italian philosophers such as Galileo Galilei, and how its current structure sprang from developments in the nineteenth century. Bressoud reveals problems with the standard ordering of its curriculum―limits, differentiation, integration, and series―and he argues that a pedagogy informed by the historical evolution of calculus represents a sounder way for students to learn this fascinating area of mathematics. From calculus’s birth in the Hellenistic Eastern Mediterranean, India, and the Islamic Middle East, to its contemporary iteration, Calculus Reordered highlights the ways this essential tool of mathematics came to be.
| Publisher | Princeton University Press |
| Publication date | May 4, 2021 |
| Language | English |
| Print length | 248 pages |
| ISBN-10 | 0691218781 |
| ISBN-13 | 978-0691218786 |
| Item Weight | 12.8 ounces (362.88 grams) |
| Dimensions | 6 x 0.75 x 9.5 inches (15.2 x 1.9 x 24.1 cm) |
Quem Deverá Comprar?
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History Enthusiasts
Readers interested in the historical development of calculus concepts will enjoy its detailed exploration of big ideas.
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Mathematics Students
Students looking for a deeper understanding of calculus beyond formulas will benefit from its insightful explanations.
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Educators and Teachers
Teachers seeking effective ways to present calculus's historical context can find valuable resources and teaching strategies.
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Casual Learners
Individuals seeking light, introductory calculus content may find this emphasis on history overly complex or dense.
DESCRIÇÃO DO PRODUTO
Perguntas e Respostas dos Clientes
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Pergunta:
What is 'Calculus Reordered: A History of the Big Ideas' about?
Resposta: 'Calculus Reordered: A History of the Big Ideas' is a comprehensive exploration of the foundational concepts of calculus and how they have evolved over time. This book delves into the historical context and the mathematicians who contributed to the development of calculus, tracing the journey from its inception to its modern applications. By understanding these big ideas, readers can appreciate not just the mathematics itself but also the significance of calculus in various scientific fields, such as physics and engineering. This makes it a valuable resource for both students and professionals seeking deeper knowledge of calculus' role in shaping modern science. -
Pergunta:
Is 'Calculus Reordered' suitable for beginners?
Resposta: Yes, 'Calculus Reordered' is written in a way that is accessible to beginners while still being informative for advanced readers. The book breaks down complex concepts into more digestible parts, with historical anecdotes that provide context and make the material more relatable. Beginners can benefit from the explanations of key concepts presented in a straightforward manner, helping them to build a solid foundation in calculus. Furthermore, the illustrations and examples enhance understanding, making it ideal for those just starting their journey in calculus. -
Pergunta:
Who are the authors of 'Calculus Reordered: A History of the Big Ideas'?
Resposta: 'Calculus Reordered: A History of the Big Ideas' is authored by David Bressoud, a noted mathematician and educator known for his contributions to the teaching of calculus. His expertise in both mathematics and education shapes the narrative of the book, making complex ideas accessible. The author combines his passion for mathematics with a clear writing style, making the book not just informative, but also engaging for readers. His background confirms the reliability of the insights provided, which are beneficial for academic and professional growth. -
Pergunta:
What are the main themes discussed in the book?
Resposta: The main themes of 'Calculus Reordered: A History of the Big Ideas' include the evolution of calculus, the pivotal ideas and concepts that define it, and the historical figures who influenced its development. Throughout the book, Bressoud emphasizes the interconnectedness of mathematical advancements and how each contributed to modern calculus. This thematic approach highlights the significance of historical context in understanding mathematical concepts, making it a useful framework for educators and learners alike. The integration of history into mathematics adds a richer layer of comprehension for readers. -
Pergunta:
How can 'Calculus Reordered' be used in academic settings?
Resposta: 'Calculus Reordered' serves as an excellent supplementary text in calculus courses at various educational levels. Instructors can use it to provide historical context, thereby enriching their teaching methodologies. By incorporating discussions on the evolution of calculus, educators can help students appreciate the subject beyond mere formulas and computations. Students can use the book for reference to deepen their understanding of calculus concepts, while study groups may find the historical examples useful for sparking discussions and enhancing collaborative learning. -
Pergunta:
What unique perspective does 'Calculus Reordered' offer?
Resposta: 'Calculus Reordered' offers a unique perspective by intertwining the history of mathematical ideas with the evolution of calculus itself. Unlike many traditional calculus textbooks that focus solely on techniques and applications, Bressoud's work invites readers to explore the significant milestones that shaped calculus as we know it today. This narrative approach not only makes the content more engaging but also helps students see the relevance of calculus in broader scientific endeavors, enhancing their appreciation of its practical applications. -
Pergunta:
Can 'Calculus Reordered' help with advanced studies in mathematics?
Resposta: Absolutely, 'Calculus Reordered' is beneficial for those pursuing advanced studies in mathematics. The book provides insights into the foundational ideas of calculus that underpin many advanced mathematical theories and applications. By understanding these deep concepts and their historical background, students can develop a greater mastery over higher-level mathematics courses. Additionally, the analytical skills gained from engaging with the material can aid students in tackling complex problems and projects in their academic careers. -
Pergunta:
How is the book structured?
Resposta: 'Calculus Reordered' is structured in a way that progressively builds knowledge. It begins with foundational concepts and gradually introduces more complex ideas, often linking them to historical developments and key figures in mathematics. Each chapter is designed to tackle specific themes and concepts, making it easy for readers to follow and absorb the material. This structured approach facilitates a comprehensive understanding of calculus and its historical context, allowing readers to revisit chapters as needed for clarification or deeper insights. -
Pergunta:
What are some key benefits of reading 'Calculus Reordered'?
Resposta: Reading 'Calculus Reordered' comes with several key benefits. First, it enhances understanding of both the historical context and the big ideas in calculus, making it a well-rounded resource. Secondly, it fosters critical thinking by encouraging readers to consider the evolution of mathematical concepts and their relevance. Lastly, the narrative style makes learning enjoyable, engaging an audience that may otherwise find calculus daunting. This blend of history and mathematics positions readers to appreciate calculus's significance in various scientific fields. -
Pergunta:
Where can I buy 'Calculus Reordered: A History of the Big Ideas' in Portugal?
Resposta: You can purchase 'Calculus Reordered: A History of the Big Ideas' in Portugal through Ubuy. Ubuy offers a reliable platform for buying a wide range of products, including books, ensuring you can find this insightful publication easily. With its user-friendly interface, Ubuy allows you to navigate through various options efficiently, making it simple to secure your copy of this essential read on calculus.
Calculus Editorial Review
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Recursos e benefícios
- A historical account of the evolution of calculus
- Explains the contributions of various key figures over time
- Highlights the flaws in the traditional curriculum structure
- Advocates for a pedagogy rooted in understanding its historical context
- Traces the development of calculus from its origins to modern times
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